123321001313 has 8 divisors (see below), whose sum is σ = 125825949480. Its totient is φ = 120841228800.

The previous prime is 123321001303. The next prime is 123321001337. The reversal of 123321001313 is 313100123321.

It can be written as a sum of positive squares in 4 ways, for example, as 27018154384 + 96302846929 = 164372^2 + 310327^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123321001313 - 2¹⁰ = 123321000289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123321001303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6284018 + ... + 6303611.

It is an arithmetic number, because the mean of its divisors is an integer number (15728243685).

Almost surely, 2^123321001313 is an apocalyptic number.

It is an amenable number.

123321001313 is a deficient number, since it is larger than the sum of its proper divisors (2504948167).

123321001313 is a wasteful number, since it uses less digits than its factorization.

123321001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12587827.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123321001313 its reverse (313100123321), we get a palindrome (436421124634).

The spelling of 123321001313 in words is "one hundred twenty-three billion, three hundred twenty-one million, one thousand, three hundred thirteen".